Given:
The equation of the circle is:
[tex]x^2+y^2=16[/tex]
To find:
The radius of the circle.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is the center and r is the radius.
We have,
[tex]x^2+y^2=16[/tex]
In can be written as:
[tex]x^2+y^2=4^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0[/tex]
[tex]k=0[/tex]
[tex]r=4[/tex]
Here, the center of the circle is the origin and the radius is equal to 4 units.
Therefore, the radius of the given circle is 4 units.
HELP I need the work too
Answer:
C) 36
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 9
h = 8
Work:
A = 1/2bh
A = 1/2(9)(8)
A = 4.5(8)
A = 36
Tom swam at one pool each of 5 days during one week. The number of people at the pool when he arrived on each of the days were: 12, 19, 17, 26, 26. What is the mean number of people who were at the pool?
Answer:
The mean is 19.33
Step-by-step explanation:
How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
need help on this plz
What is the angle of rotation for the following figure?
60°
72°
90°
120°
Answer:
72
Step-by-step explanation:
360/5 = 72
The angle of the rotation will be 72°. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Rotation does not change the size and shape of the geometry. But change the orientation of the image.
The pentagon is shown.
The angle of rotation of the pentagon such that the pentagon will remain in the same position.
Then the angle of the rotation is given as,
⇒ 360° / n
Where n be the number of the sides of the polygon.
In pentagon, the number of the sides will be 5.
Then the angle of the rotation will be
⇒ 360° / 5
⇒ 72°
Thus, the angle of the rotation will be 72°
Then the correct option is B.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
#SPJ5
Which scenario could be best represented by the graph?
A a ballon descending
B a car increasing speed
C a person climbing up the stairs
D a child swinging on a swing
Answer:
I think swinging.
Step-by-step explanation:
I think this because that is the only one that would explain why the distance decreases and increases.
If u can help me do this.. You are a LEGEND✨
Answer:
The answer is the 3rd one i think ,
Step-by-step explanation:
The real answer is 23 and the nearst item among these , is 20.2% .
Hope this helps u .
Good luck ^^
this is the third time and i a really annoyed as i am having my time wasted and points
plz help me
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Which formula can be used to find the volume of a basketball?
A. V = Bh
B.
C.
D.
Answer:
[tex] \frac{4}{3} \pi {r}^{3} [/tex]
Step-by-step explanation:
Since,
Basketball is a spherical object.
Hence,
It's volume would be,
[tex] \frac{4}{3} \pi {r}^{3} [/tex]
Answer ^
Answer:
C) V= 4/3 pie r 3
Step-by-step explanation:
edge 2022
PLSSSSSS HELP I WILL GIVE BRAINLEST I PROMISSSSSSSSSSSSSE
Answer:
option (C) is right answer
Answer:
this is for scaming me HAH
Step-by-step explanation:
You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the number of times you will pick a green marble?
help fast
Answer:
the possible prediction of getting a purple or blue is 2 out of 6
Step-by-step explanation:
(hope this helps can i plz have brainlist :D hehe)
A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning
Answer:
For a volume of 60 ounces, the appropriate price is $16
Step-by-step explanation:
Firstly, we need to determine the relationship between volume of popcorn and the price of bag.
Let us try and see if there is a linear relationship
A linear model is of the form ;
y = mx + b
where m is the slope and b is the y intercept
While the price represents the y axis values, the volume represents the x axis values
For the slope;
m = (y2-y1)/(x2-x1)
m = (13.6-11)/(48-35) = 2.6/13 = 0.2
So we have the slope value as 0.2
the equation is;
y = 0.2x + b
to get b, substitute any value of (x,y)
6 = 0.2(10) + b
6 = 2 + b
b = 6-2 = 4
If we had substituted (20,8)
8 = 0.2(20) + b
8 = 4 + b
b = 4
if (48,13.6)
13.6 = 48(0.2) + b
13.6 = 9.6 + b
b = 13.6-9.6
b = 4
Hence we have established linear relationship between the volume in ounces and the price in $
So we have this as
Price = 0.2(volume) + 4
So for volume of 60 ounces;
Price = 0.2(60) + 4
price = 12 + 4
price = $16
The reason why this is appropriate is because it follows the rule of the established linear relationship
Answer:
$16
Step-by-step explanation:
Given that the triangles are similar find the scale factor of ABC to ACD and the value of X.
SCALE FACTOR ABE TO ACD
Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75
x= 24[tex]\frac{1}{2}[/tex] or 24.5
Step-by-step explanation:
12+16=28
12+9=21
x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]
x= 14(17.75)=24.5
ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]
ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]
Miguel bought a ¾ pound bag of chocolate chips. He used ⅘ of the bag in his chocolate chip cookies. How many pounds of chocolate chips did he use?
Convert to percentages to understand the question better:
3/4 = 75%
4/5 = 80%
What is 80% of 75%?
Convert the percentages to decimals:
75% = 0.75
80% = 0.8
Calculate:
0.8 × 0.75 = 0.6
Convert back to original problem's format (fraction):
0.6 = 60% = 6/10 = 3/5
Miguel used 3/5 pounds of chocolate chips.
Sarah started with 40 pieces of gum and gave away x pieces . Gerardo started with 24 pieces of gum and gave away twice as many pieces Sarah did . how many pieces of gum did Sarah give away if they had same number of pieces of gum left
Martha conducts aerobics three times a week in her home in the first group there are 19 members in the second 22 and the third 14 how many people attend aerobics at Martha’s althougher
Answer: 55 people attend aerobics at Martha’s altogether
Step-by-step explanation:
Martha conducts aerobics three times a week in her home.
Number of members in first group = 19 members
Number of members in second group = 22 members ; and
Number of members in third group = 14 members
To find the number of people who attended aerobics we have to add the number of members in all tge three groups.
So, number of people who attended aerobics at Martha’s altogether = 19 + 22 + 14 = 55 members
Hope it helps.
Thank you :)
Step-by-step explanation:
Please help im almost done (this is 12 year old math)
Answer:
1.) 12m = d
2.) 120
Answer:
d=12m
$120
Explained
part 1:
d=12m (dollars = $12 times the m (the number of mows))
part 2:
m=10
d=12 (10)
d=$120
What is the value of the expression 10-1/2^4x48
Answer:
7
Step-by-step explanation:
Can u help me pls? Thanks
Answer:
D ; y = (4/3)x + 2
Step-by-step explanation:
The general form of the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
Now, let us represent the given equation in this general form
We have this as;
4y= -3x + 12
divide through by 4
y = -3/4x + 3
Now, the slope of this equation is -3/4
Mathematically, when two lines are perpendicular, the product of their slopes is -1
let us have the slope of the second equation as m2
-3/4 * m2 = -1
-3m2 = 4 * -1
m2 = -4/-3
m2 = 4/3
so, the equation that is perpendicular will have its slope as 4/3
Looking through the options given as we have the equations in the general form, the equation D is the correct answer
D ; y = (4/3)x + 2
The cost of buying different numbers of bagels is shown. Is the cost a function of the number of bagels bought? Explain.
Answer:
6
Step-by-step explanation:
Answer:
Yes, because each input (number of bagels) has a single output (cost).
Step-by-step explanation:
Surface Area:Question 10
Lamar plans to paint the net above before folding it into a
triangular prism. What is the surface area he will paint?
13 cm
10 cm
Select one:
12 am
13 cm
840cm
20 cm
O
780cm
810cm
ОО
0 720cm
Answer:
Don't understand 12am like how
Hi, please explain how you got the answer, thanks!
Answer: 24
Step-by-step explanation:
FIrst solve:
x-2.5 =+-12
1) x=14.5
2) x= -9.5
add both of them( get rid of the minus sign) 14.5+9.5 = 24
PLEASE HELPPP!! Noah jumped eight inches farther than the sum of the jumps made by his teammates Ava and Logan. Which equation represents the length of Noah’s jump?
A. z = x + y − 8; x represents Logan's jump, y represents Ava's jump, and z represents Noah's jump.
B. x = 8 + y + z; x represents Logan's jump, y represents Noah's jump, and z represents Ava's jump.
C. y = x + z − 8; x represents Ava's jump, y represents Noah's jump, and z represents Logan's jump.
D. x = y + z + 8; x represents Noah's jump, y represents, Logan's jump, and z represents Ava's jump.
Answer:
d
Step-by-step explanation:
if 3 square + 4 square is equals to 5 square then why four square + 5 square is not equals to 6 square
Answer:
Logic
Step-by-step explanation:
3 square = 9
4 square = 16
9+16= 25
5 square = 25
4 square = 16
5 square = 25
16+25= 41
6 square = 36
g(x)=3x+2 and h(x)=ax+B
where a and b are constants
h(4)=22
g^-1(14)=h(1)
find the value of a and the value of b
Answer:
a=6
b=-2
Step-by-step explanation:
You can use the hint provided on the mathswatch question page, I've attached it below
step 1
h(4) = ax+b = (ax4)+b = 4a+b
it is given in the question that h(4)=22, therefore 4a+b=22
step 2
work out the equation for inverse g
g^-1(x) = [tex]\frac{x-2}{3}[/tex]
step 3
input 14 into the equation in place of x to find g^-1(x)
[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]
so, g(x)^-1=4
step 4
find h(1):
h(1) = (ax1)+b = a+b
so, h(1)=a+b
step 5
a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))
step 6
Now you have two simultaneous equations:
4a+b=22
a+b=4
then, solve for a:
4a+b=22
- a+b=4
3a=18
a=6
then, input answer for a into either equation (I've gone with the a+b=4 equation):
6+b=4
-6 - 6
b=-2
(p.s i know this is very late but hope it helps someone)
Miguel compró 6 azulejos cuadrados cuya área es de 49 cm^2 cada uno y los ubicó en dos columnas de tres azulejos en la pared. ¿Cuál es el perímetro del rectángulo formado por estos azulejos en dicha disposición?
Answer:
the perimeter of the rectangle is 70 cm
Step-by-step explanation:
The computation of the perimeter of the rectangle is given below:
first we determine the side of each tile i.e.
l² = A
l² = 49cm²
l = √49cm²
l = 7cm
now we calculate the perimeter i.e.
P = 2 (3 (7cm) + 2 (7cm))
= 2 (21cm + 14cm)
= 2 (35cm)
= 70cm
Hence, the perimeter of the rectangle is 70 cm
What is the surface area of this figure?
15 in
10 in
10 in
Answer: 800
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
The surface area of the figure is 40 + 5π.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
From the figure,
We have a semicircle and a rectangle.
Now,
Diamter = 10 in
Radius = 5 in
Circumference = 2πr
Semicircle circumference = πr
Now,
The surface area of the figure.
= 15 + 10 + 15 + πr
= 40 + 5π
Thus,
The surface area of the figure is 40 + 5π.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ2
The complete question.
The figure is attached.
Find the slope between the following two points.
(-4,0)(5,-8)
Answer:
-8/9.
Step-by-step explanation:
The slope = difference in y-values / corresponding difference in x values
Slope = (-8-0)/(5 - (-4))
= -8/9.
what are the factors of 64 that have a sum of 16
Anwnser 8
Step-by-step explanation:
2,4,6,8,32
Find area of parallelogram plz
Answer:
A)
Step-by-step explanation:
The answer is A) because the formula to solving the area of a parrellogram is b x h
I need help on this for brainly
Answer:
d
Step-by-step explanation:
(7,1)